#LUNA-COMPLEX

#v0.2.0 - Generic Core Split

#Package Positioning

• Complex[T] is a mutable struct with explicit re / im fields for in-place updates when desired.
• The root package keeps only the generic core: construction, mutation, conjugation, identities, and basic arithmetic under algebraic trait constraints.
• Luna-Flow/luna-complex/double_ext carries the current Complex[Double] elementary, trigonometric, and hyperbolic implementation.
• The double_ext internals are now split between function-level APIs and Double-specific numeric-stability helpers.
• double_ext currently exposes free functions such as @double_ext.log(z) and @double_ext.sin(z). MoonBit does not allow this subpackage to add methods to the root-package Complex[T] type directly.
• This split is intentional so future real-function / transcendental trait constraints can replace the Double extension layer cleanly.

#Current Repository State

• Source is organized into a generic core package plus a double_ext subpackage for Double-specific analytic behavior.
• double_ext uses Luna-Flow/arithmetic for the elementary-function capability surface while keeping Double-only stability logic local to the subpackage.
• Generic tests cover algebraic behavior, including nested values such as Complex[Complex[Double]].
• double_ext tests cover both smoke behavior and representative stability regressions for the split-out Double numeric layer.
• The repository now uses moon.mod / moon.pkg manifests and a publish workflow that requires explicit version confirmation.

#Quick Start

using @core {type Complex}

let z : Complex[Double] = Complex::new(1.0, 2.0)
let nested : Complex[Complex[Double]] = Complex::new(z, Complex::zero())

let sum = z + Complex::one()
let product = z * z
let nested_inverse = nested.inv()

using @core {type Complex}

let z : Complex[Double] = Complex::new(1.0, 2.0)
let w = @double_ext.polar(2.0, 0.7853981633974483)

let magnitude = @double_ext.abs(z)
let principal_log = @double_ext.log(z)
let inverse_sine = @double_ext.asin(z)

#Current Public Surface

• Root package Luna-Flow/luna-complex: generic Complex[T], trait implementations, and basic algebraic operations.
• Subpackage Luna-Flow/luna-complex/double_ext: Complex[Double] helpers such as polar, arg, abs, sqrt, log, sin, cos, asin, acosh, atanh, and related functions.
• Internal numeric helpers in double_ext are intentionally not part of the public API surface.
• If you need method-style transcendental APIs again later, that will require moving those definitions back into the root package or introducing a different wrapper design.

#Documentation

• English: doc/en_US/CONTRIBUTING.md
• 简体中文: doc/zh_CN/CONTRIBUTING.md
• 日本語: doc/ja_JP/CONTRIBUTING.md

#Development

moon fmt
moon check
moon test --enable-coverage
moon info
./ready_to_pr.sh

#Release Checklist

1. Update moon.mod to a new unreleased version.
2. Update README.md if the package summary or release notes no longer match the repository state.
3. Run moon check and moon test --enable-coverage.
4. Trigger the publish-package workflow and enter the exact version from moon.mod.